What is the Least Common Multiple of 64380 and 64385?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 64380 and 64385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64380 and 64385, than apply into the LCM equation.

GCF(64380,64385) = 5
LCM(64380,64385) = ( 64380 × 64385) / 5
LCM(64380,64385) = 4145106300 / 5
LCM(64380,64385) = 829021260

Least Common Multiple (LCM) of 64380 and 64385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64380 and 64385. First we will calculate the prime factors of 64380 and 64385.

Prime Factorization of 64380

Prime Factorization of 64385

Now multiplying the highest exponent prime factors to calculate the LCM of 64380 and 64385.

LCM(64380,64385) = 2² × 3¹ × 5¹ × 29¹ × 37¹ × 79¹ × 163¹
LCM(64380,64385) = 829021260